Question

write \\(\frac{7}{25}\\) as a decimal.

Explanation:

Step1: Recall fraction to decimal conversion

To convert a fraction to a decimal, divide the numerator by the denominator. So we need to compute \(7\div25\).

Step2: Perform the division

We know that \(25\times0.2 = 5\), \(7 - 5=2\). Then we can write \(7\div25\) as \(0.2 + \frac{2}{25}\). Now, \(\frac{2}{25}=\frac{2\times4}{25\times4}=\frac{8}{100} = 0.08\). So adding \(0.2\) and \(0.08\) gives \(0.28\). Alternatively, directly doing the division: \(7\div25 = 0.28\) (since \(25\times0.28 = 7\)).

Answer:

\(0.28\)